(1+2ix)x+(3-i)y=2+i

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Solution for (1+2ix)x+(3-i)y=2+i equation: 


Simplifying
(1 + 2ix) * x + (3 + -1i) * y = 2 + i

Reorder the terms for easier multiplication:
x(1 + 2ix) + (3 + -1i) * y = 2 + i
(1 * x + 2ix * x) + (3 + -1i) * y = 2 + i

Reorder the terms:
(2ix2 + 1x) + (3 + -1i) * y = 2 + i
(2ix2 + 1x) + (3 + -1i) * y = 2 + i

Reorder the terms for easier multiplication:
2ix2 + 1x + y(3 + -1i) = 2 + i
2ix2 + 1x + (3 * y + -1i * y) = 2 + i

Reorder the terms:
2ix2 + 1x + (-1iy + 3y) = 2 + i
2ix2 + 1x + (-1iy + 3y) = 2 + i

Reorder the terms:
2ix2 + -1iy + 1x + 3y = 2 + i

Solving
2ix2 + -1iy + 1x + 3y = 2 + i

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-1i' to each side of the equation.
2ix2 + -1iy + 1x + -1i + 3y = 2 + i + -1i

Reorder the terms:
-1i + 2ix2 + -1iy + 1x + 3y = 2 + i + -1i

Combine like terms: i + -1i = 0
-1i + 2ix2 + -1iy + 1x + 3y = 2 + 0
-1i + 2ix2 + -1iy + 1x + 3y = 2

Add '-1x' to each side of the equation.
-1i + 2ix2 + -1iy + 1x + -1x + 3y = 2 + -1x

Combine like terms: 1x + -1x = 0
-1i + 2ix2 + -1iy + 0 + 3y = 2 + -1x
-1i + 2ix2 + -1iy + 3y = 2 + -1x

Add '-3y' to each side of the equation.
-1i + 2ix2 + -1iy + 3y + -3y = 2 + -1x + -3y

Combine like terms: 3y + -3y = 0
-1i + 2ix2 + -1iy + 0 = 2 + -1x + -3y
-1i + 2ix2 + -1iy = 2 + -1x + -3y

Reorder the terms:
-2 + -1i + 2ix2 + -1iy + x + 3y = 2 + -1x + -3y + -2 + x + 3y

Reorder the terms:
-2 + -1i + 2ix2 + -1iy + x + 3y = 2 + -2 + -1x + x + -3y + 3y

Combine like terms: 2 + -2 = 0
-2 + -1i + 2ix2 + -1iy + x + 3y = 0 + -1x + x + -3y + 3y
-2 + -1i + 2ix2 + -1iy + x + 3y = -1x + x + -3y + 3y

Combine like terms: -1x + x = 0
-2 + -1i + 2ix2 + -1iy + x + 3y = 0 + -3y + 3y
-2 + -1i + 2ix2 + -1iy + x + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-2 + -1i + 2ix2 + -1iy + x + 3y = 0

The solution to this equation could not be determined.

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